218634007152 has 80 divisors (see below), whose sum is σ = 648579381120. Its totient is φ = 62765740800.

The previous prime is 218634007139. The next prime is 218634007157. The reversal of 218634007152 is 251700436812.

218634007152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218634007152² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218634007152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218634007157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10886799 + ... + 10906862.

It is an arithmetic number, because the mean of its divisors is an integer number (8107242264).

Almost surely, 2^218634007152 is an apocalyptic number.

218634007152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218634007152 is an abundant number, since it is smaller than the sum of its proper divisors (429945373968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218634007152 is a wasteful number, since it uses less digits than its factorization.

218634007152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21793702 (or 21793696 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 218634007152 in words is "two hundred eighteen billion, six hundred thirty-four million, seven thousand, one hundred fifty-two".